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Finding the Fourth Proportional to 284,877,266.65, 399,735,165.95 and 284,877,266.65

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Solution

The fourth proportional to 284,877,266.65, 399,735,165.95 and 284,877,266.65 is: 399,735,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,877,266.65 : 399,735,165.95 = 284,877,266.65 : x
  2. Step 2: Convert to fraction form
    284,877,266.65/399,735,165.95 = 284,877,266.65/x
  3. Step 3: Cross multiply
    284,877,266.65x = 399,735,165.95 × 284,877,266.65
  4. Step 4: Simplify right side
    284,877,266.65x = 113,875,461,459,720,144
  5. Step 5: Solve for x
    x = 113,875,461,459,720,144/284,877,266.65
  6. Step 6: Final answer
    x = 399,735,165.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.